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Finding the Fourth Proportional to 776.28, 1,071.75 and 598.89

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Solution

The fourth proportional to 776.28, 1,071.75 and 598.89 is: 826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.28 : 1,071.75 = 598.89 : x
  2. Step 2: Convert to fraction form
    776.28/1,071.75 = 598.89/x
  3. Step 3: Cross multiply
    776.28x = 1,071.75 × 598.89
  4. Step 4: Simplify right side
    776.28x = 641,860.36
  5. Step 5: Solve for x
    x = 641,860.36/776.28
  6. Step 6: Final answer
    x = 826.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.